1. The Space L (Algebraic Theory). - 2. Dual Theory (Algebraic). - 3. Transcendental Theory. - 4. Analytic Dual Theory. - 5. Basic Properties of ? Operator. - 6. Calculation Modulo p of the Matrix of ?fh. - 7. Hasse Invariants. - 8. The a ? a? Map. - 9. Normalized Solution Matrix. - 10. Nilpotent Second-Order Linear Differential Equations with Fuchsian Singularities. - 11. Second-Order Linear Differential Equations Modulo Powers of p. - 12. Dieudonné Theory. - 13. Canonical Liftings (l ? 1). - 14. Abelian Differentials. - 15. Canonical Lifting for l = 1. - 16. Supersingular Disks. - 17. The Function ? on Supersingular Disks (l = 1). - 18. The Defining Relation for the Canonical Lifting (l = 1). - 19. Semisimplicity. - 20. Analytic Factors of Power Series. - 21. p-adic Gamma Functions. - 22. p-adic Beta Functions. - 23. Beta Functions as Residues. - 24. Singular Disks Part I. - 25. Singular Disks Part II. Nonlogarithmic Case. - 26. Singular Disks Part III. Logarithmic Case. - Index of Symbols. Language: English